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Finding the Fourth Proportional to 16,156.58, 24,224.94 and 6,284.35

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Solution

The fourth proportional to 16,156.58, 24,224.94 and 6,284.35 is: 9,422.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,156.58 : 24,224.94 = 6,284.35 : x
  2. Step 2: Convert to fraction form
    16,156.58/24,224.94 = 6,284.35/x
  3. Step 3: Cross multiply
    16,156.58x = 24,224.94 × 6,284.35
  4. Step 4: Simplify right side
    16,156.58x = 152,238,001.69
  5. Step 5: Solve for x
    x = 152,238,001.69/16,156.58
  6. Step 6: Final answer
    x = 9,422.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.